What is an equation in slope form for line perpendicular to y=2x+13 that contains (8,-4)

The perpendicular line would be y = -1/2x

Step-by-step explanation:

Perpendicular lines have opposite and reciprocal slopes. This means that we take the original slope (2) and negate it (-2). Now that we have the negated version, we need to flip it (-1/2).

With the slope of our new equation decided, we simply need to plug it along with the point into point-slope base form and then solve for y.

y - y1 = m(x - x1)

y + 4 = -1/2(x - 8)

y + 4 = -1/2x + 4

y = -1/2x

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3